Randall is saving money to buy a bicycle. He has 37.80 in his savings account and saves 20% of his paper route earnings each week after 10 weeks, he has 87.80 in his savings account. How much does Randall earn each week from his paper route.

The, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

To convert 9 kilograms (kg) to pounds (lbs), you can use the following formula:

1 kg = 2.20462 lbs

So, to convert 9 kg to lbs, you can multiply 9 by 2.20462:

9 kg * 2.20462 lbs/kg = 19.84158 lbs

Therefore, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

"Kilograms" (kg) and "pounds" (lbs) are mass or weight measuring units.

The International System of Units' base unit of mass is the kilogramme (kg) (SI). The mass of a specific platinum-iridium alloy cylinder stored at the International Bureau of Weights and Measures in France is defined.

The pound (lb or lbs) is a popular measure of mass in the United States and other nations. One pound equals 0.45359237 kilos. The pound is often used to weigh objects such as humans, animals, and food.

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The value of x such that  the angles LFDE and LFDB are supplementary is:

17º

If LFDE and LFDB are supplementary, then their sum is 180°. Therefore, we can write an equation using this information:

m∡FDE + m∡LFDB = 180°

Substituting the given expressions for m∡FDE and m∡LFDB, we get:

(3x - 15)° + (5x + 59)° = 180°

Combining like terms and simplifying, we get:

8x + 44 = 180

Subtracting 44 from both sides of the equation, we get:

8x = 136

Dividing both sides of the equation by 8, we get:

x = 17

Therefore, the value of x that makes LFDE and LFDB supplementary is 17.

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One inches is equal to 2.54 cm

To convert 1 inches to cm, we can use the following formula:

1 inch = 2.54 cm

The conversion factor is 2.54

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in cm = conversion factor × The length in inches

Substitute the values in the equation

1 inches = 1 × 2.54 cm

Multiply the numbers

= 2.54 ( rounded to two decimal places )

Therefore, one inch is 2.54 cm

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Option A. The dealer has 17 cars for sale. The problem provides us with a ratio of cars to trucks on the lot, which is 11 to 33. This means that for every 11 cars, there are 33 trucks.

We are given that there are currently 51 trucks for sale. We can use this information along with the ratio of cars to trucks to determine how many cars are for sale.

We can start by setting up a proportion with the ratio of cars to trucks:

cars/trucks = 11/33

We can then substitute the given value for trucks:

cars/51 = 11/33

To solve for cars, we can cross-multiply and simplify:

[tex]cars = (11/33) * 51[/tex]

cars = 17

Therefore, the dealer has 17 cars for sale.

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a) The value of a from the equation is a = 7.9

b) The cost of each pair of shorts is given by y = $ 11.50

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.25 ( a + 1.3 ) = 20.7

Divide by 2.25 on both sides , we get

a + 1.3 = 9.2

Subtracting 1.3 on both sides , we get

a = 7.9

b)

The cost of each pair of shorts be y

The cost of shirt be x = $ 10

The number of outfits = 3

The total cost of outfits = $ 64.50

So , the equation will be

3 ( x + y ) = 64.50

On simplifying the equation , we get

3 ( 10 + y ) = 64.50

Divide by 3 on both sides , we get

10 + y = 21.50

Subtracting 10 on both sides , we get

y = $ 11.50

Hence , the cost of each shorts is $ 11.50

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The value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.

A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.

The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilised to determine the solutions for equations needing a single unknown raised to a power of one.

The equation given to predict the weight from height is:

ŷ = -260 + 6.6x

Given that, Shawna’s height was 64 inches.

Substituting the value in x we have:

ŷ = -260 + 6.6x

ŷ = -260 + 6.6(64)

ŷ = 162.4

The actual weight is given as 150 pounds.

The residual value of the weight from the predicted formula is:

r = 162.4 - 150

r = 12.4

Hence, the value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.

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Answer:

-12.4

Step-by-step explanation:

The conversion of 275 mm to inches is 10.8268 inches.

Millimeter (mm) and inch are both units of measurement used to express length or distance. Millimeter is a metric unit of length commonly used in the International System of Units (SI) and is equivalent to one-thousandth of a meter.

To convert 275 mm to inches, we can use the conversion factor of 1 inch = 25.4 mm.

So, we can divide 275 mm by 25.4 mm/inch to get the equivalent measurement in inches:

275 mm ÷ 25.4 mm/inch = 10.8268 inches (rounded to four decimal places)

Therefore, 275 mm is approximately equal to 10.8268 inches.

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Answer: 8x^3 - 18x^2 + 11x - 3

Distribute and combine like terms

The sample mean symbol is X bar, representing the average value of a sample, calculated by summing values and dividing by observations.

The sample mean image is addressed by (articulated "x-bar"). It is utilized to address the typical worth of an example of information, and is determined by adding every one of the qualities in the example and separating by the quantity of perceptions.

For instance, in the event that we have an example of 10 numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, we can compute the example mean by including the entirety of the qualities and isolating by the all out number of perceptions:

X bar = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)/10

X bar = 5.5

The sample mean is a normally involved measurement in inferential insights, where it is utilized to gauge the populace mean. It is likewise utilized in speculation testing, certainty stretches, and other measurable examinations.

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Answer:

no

Step-by-step explanation:

On converting the length , 151 centimeter is equivalent to 4.954 feet .

The Units of measuring the length are used to measure the distance between two points of an object. There are several units of measuring length , which are : meter , centimeter , kilometer , feet .

We have to convert 151 cm to feet,

So , we use the conversion factor of 0.03281 feet per centimeter  , which means that there are approximately 0.03281 feet in 1 centimeter.

So , to convert 151 cm to feet, we multiply the number of centimeters by this conversion factor ;

Using this method, we get ;

⇒ 151 cm × 0.03281 feet/cm = 4.954 feet ;

Therefore, 151 cm is equal to approximately 4.954 feet.

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Answer: 3159.2

Step-by-step explanation:

8.8 times 109= 959.2

2.2 times 10 cubed= 2200

2200+959.2= 3159.2

Answer:

3159.2

Step-by-step explanation:

You have to do it step by step. You have to do the first parentheses, then the next, then add it together. Here's how you would do it:

You have to figure out the end result of the square root, then figure out the parentheses.

This is the end result of all the parentheses. All you have to do now is add the two numbers to get the end number.

This is the final result of the equation.

The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.

A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.

A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.

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--The question is incomplete, answering to the question below--

"How many reflectional symmetries does this figure have?

Enter your answer

___ reflectional symmetries

How many rotational symmetries does this figure have?

Enter your answer

___ rotational symmetries"

To convert 1km into other measurements: 1) 1000 meter, 2) 3280.84, 3) 1e+6 millimeter, 4) 100000 centimeter, 5) 39370.1 inch, 6) 1093.61 yard1 km, 7) 0.621371 mile.

It is necessary to measure these quantities using units of measurement. Sometimes the units of measurement chosen don't match the standards needed for a specific procedure or application, as well as the measurement preference and ease of use.

It's essential to convert these units in a way that enables proper comprehension and use. When converting between different units in the metric system, a decimal point must typically be moved. If you remember what the prefixes mean, you can convert between different units of measurement within the metric system fairly quickly by simply multiplying or dividing the number by the prefix's value.

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The value 0.5625 as a fraction is 9/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

.5625*100/100 = 9/16

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Answer:

514.2857142857

Step-by-step explanation:

14cm=0.14m

so,

no. of planks=72/0.14=514.2857142857

The measure of side a given the characteristics of the oblique triangle as discussed is; 34.02.

As evident in the task content, A = 151° C = 9° b = 24. Therefore, the measure of angle B = 180° - 151° - 9° = 20°.

Ultimately, the length of side a can be determined using sine rule as follows;

a / sin 151° = b / sin 20°

a = 24 sin 151° / sin 20°

a = 34.02.

Ultimately, the length of side a is; 34.02.

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To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.

65 kg is equal to 143.3003 lbs.

The fundamental mass unit in the metric system is the kilogramme (kg). A kilogramme and 1,000 cubic centimetres of water have fairly similar masses.

One pound is approximately equal to 454 grams. One kilogram is the same as 2.20462 lbs.

One pound is equal to 0.45359237 kilograms.

To convert kilograms (kg) to pounds (lbs), you can use the following formula:

To convert kilograms to pounds, multiply your figure by 2.20462

To convert 65 kg to lbs, you can multiply 65 by 2.20462:

65 kg X 2.20462 lbs/kg

= 143.3003 lbs

Therefore, 65 kg is approximately equal to 143.3003 lbs.

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A volume of 2 liters is needed to obtain a 92 % solution.

In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:

(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)

Where V is the volume needed of the pure acid, in liters.

3.52 L + V = 3.68 L + 0.92 · V

0.08 · V = 0.16 L

V = 2 L

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The mean value of the scores is 19.83, based on their sum and quantity of numbers.

The mean or average is calculated using the formula -

Mean = sum of all the numbers ÷ quantity of numbers.

We see that there are six numbers and hence the quantity of numbers will be 6.

Sum of all the numbers = 12 + 25 + 15 + 27 + 32 + 8

Performing addition on Right Hand Side of the equation

Sum of all the numbers = 119

Now calculating the mean of the scores by keeping the values in formula -

Mean = 119/6

Performing division on Right Hand Side of the equation

Mean of scores = 19.83

Hence, the average of scores is 19.83.

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Answer:

Step-by-step explanation:

(a) If you face south and turn anti-clockwise to east, you'd have turned a right angle ( one 90° turn).

(b) If you turn clockwise from east to east again, you'd have completed a revolution or 360° (or 4 right angles)

(c) From west clockwise to south, you'd have turned 90° to north, another 90° to east and 90° to south making 3 right angles or 270°.

Hope these help! :)

Factor trees are a means to represent a number's factors, more precisely, a number's prime factorization. The tree's branches are divided up into components. When the branch's final factor is a prime number, the branch comes to an end and we circle the number because there are now only two factors left: itself and one.

The only factors of 31 are 1 and 31 itself.

To create a factor tree for 31, we will first identify two factors of 31 that are as close to each other as possible.

However, 31 is a prime number, and it only has two factors: 1 and 31.

Since 31 is a prime number and has no other factors, the factor tree for 31 will simply be:

   31

 /    \

31     1

So the only factors of 31 are 1 and 31 itself.

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The area of the trapezoid given is 160 cm².

We can write the area of the trapezoid as -

A = {1/2} x {sum of parallel sides} x {distance between them}

A = {1/2} x {P₁ + P₂} x {h}

Given is that a trapezoid with 24 cm length and 10 cm height. One side of the trapezoid is 8 cm.

We can write the area of the trapezoid as -

A = {1/2} x {P₁ + P₂} x {h}

A = {1/2} x {24 + 8} x 10

A = 1/2 x 10 x 32

A = 160 cm²

Therefore, the area of the trapezoid given is 160 cm².

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The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

The slope of any function is the unit rate or average rate of change of the given function for that situation.

here, we have,

Given the function, E(x) = 130 + 28x, where:

E(x) is the amount an electrician charges per job

130 is the flat rate service which is the starting value or y-intercept

28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.

Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

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1 milligram equals 0.001 grams. 1 gram is equal to 1000 milligrams.

So, 500 milligrams is equivalent to 0.5 grams.

The International System of Units uses the unit of mass known as the gramme (symbol: g) (SI).

The kilogramme serves as the basis for the definition of the gramme.

The SI base unit of mass is the gramme, which is one thousandth of a kilogramme.

The kilogramme, the foundation unit of mass in the SI (International System of Units), serves as the basis for the weight and mass unit known as the milligramme.

It is equivalent to 1/1,000,000 kilos or 1/1,000 gramme.

500 milligrammes equal 0.5 grammes.

grammes (g) from milligrammes (mg) (g),

You can divide the number of milligrams by 1000:

500 mg ÷ 1000 = 0.5 g

So,

500 milligrams is equivalent to 0.5 grams.

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Only graph B represents a proportional relationship.

What is a graph ?

A graph is a visual representation of data that shows the relationship between two or more variables. It is a way of presenting information in a clear and concise manner that makes it easy to interpret and understand.

Graphs can be used to show trends over time, compare different groups or categories, or illustrate the relationship between two or more variables.

Graph A shows a non-proportional relationship because as x increases, the corresponding y values do not increase or decrease at a constant rate.

Graph B shows a proportional relationship because as x increases, the corresponding y values increase at a constant rate.

Therefore, The slope of graph B is constant and represents the constant of proportionality between x and y.

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At 19, the absolute deviation is 3.

Variation in a data set is described by mean absolute deviation. We may determine how "spread out" a data set's values are by looking at the mean absolute deviation.

The deviation (variation) around the mean score is indicated by the absolute and mean absolute deviations.

We may ignore the minus sign and take only the absolute value, giving us the absolute deviation, because we are only interested in the deviations of the scores and not if they are above or below the mean score.

Find the absolute deviation at 19 is the task given to us.

the average reported is 16.

The divergence is therefore 19-16=3.

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The equation of linear function which relate y to x is,

⇒ y = - 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 2, 6) and (- 1, 2).

Now,

Since, The equation of line passes through the points (- 2, 6) and (- 1, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 6) / (- 1 - (-2))

m = - 4 / 1

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 6 = - 4 (x - (-2))

⇒ y - 6 = - 4 (x + 2)

⇒ y = - 4x - 8 + 6

⇒ y = - 4x - 2

Therefore, The equation of linear function which relate y to x is,

⇒ y = - 4x - 2

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